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UBC Theses and Dissertations

Perturbative study of concentric 5-branes in plane-wave matrix model and development of mathematical formalism for wigner j-symbols Mohazab, Ali Reza

Abstract

Expansion and computation of quantities around various (k x N) x (k x N) vacuua in BMN theory results in introduction of Matrix spherical harmonics and various traces of their products. In this thesis the formalism to deal with these harmonics is developed and a few bosonic diagrams that arise in computation of Tr(XªXª) are computed as an example. It is then seen that the large N limit is dominated by a planar subclass of these diagrams with a particular topology. This suggests a stronger constraint than that of 't Hooft.

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